f(x)=x-5
g(x) = 2x+1
Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).

F(x)=x-5g(x) = 2x+1Write The Expressions For (f-g)(x) And (f+g)(x) And Evaluate (fg)(4).

Answers

Answer 1

Answer:

(f - g)(x) = -x - 6

(f + g)(x) = 3x - 4

(f*g)(4) = -9

Step-by-step explanation:

These are your equations:

f(x) = x - 5

g(x) = 2x + 1

To find (f - g)(x), subtract g(x) from f(x).

(f - g)(x) = x - 5 - (2x + 1)

(f - g)(x) = x - 5 - 2x - 1

(f - g)(x) = -x - 5 - 1

(f - g)(x) = -x - 6

To find (f + g)(x), add f(x) with g(x).

(f + g)(x) = x - 5 + 2x + 1

(f + g)(x) = 3x - 5 + 1

(f + g)(x) = 3x - 4

To find (f*g)(4), you need to first find (f*g)(4).  You can do this by multiplying f(x) wih g(x).

(f*g)(x) = (x - 5)(2x + 1)

(f*g)(x) = 2x² - 9x - 5

Now that you have (f*g)(x), solve with x as 4.

(f*g)(4) = 2(4)² - 9(4) - 5

(f*g)(4) = 2(16) - 9(4) - 5

(f*g)(4) = 32 - 36 - 5

(f*g)(4) = -9

Answer 2

The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x)=x-5
g(x) = 2x+1

According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4

[f + g ](x) =  3x - 4

[f - g ](x) =  x - 5 - 2x - 1
[f - g ](x) = -x - 6

(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5

(f.g)(4) = 2[4]² - 4[4] - 5
         = 32 - 16 - 5
         = 11
(f.g)(4) = 11

Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

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Related Questions

What is the probability that you will get heads no more than once out of 3 flips? P(0 successes) + P(1 success)=

Answers

Answer:

The answer is .5

Step-by-step explanation:

Answer:

The correct answer is 0.5

Step-by-step explanation:

You have to do 0.125 (0 successes) plus 0.375 (1 success). This is equal to 1/2

This is correct on edge.

Robin Hartman earns $600 per week plus 3% of sales over $6,500. Robin's week sales are $14,000. How much does Robin earn

Answers

Answer:

$825

Step-by-step explanation:

Given that :

Weekly earning = $600 plus 3% of sales over $6500

If weekly sales = $14000

How much will Robin earn

Robin's earning will be:

Flat weekly pay + 3% of amount over 6500

$600 + 3%(weekly sales - 6500)

$600 + 0.03(14000 - 6500)

$600 + 0.03(7500)

$600 + $225

= $825

6m + 4n + 3m - 6

What are the terms? Separate them with a comma.

Answers

6m, +4n, +3m, -6

(I also added a picture)

Solve this equation 6(2b + 12)

Answers

12b+72 is the answer
12b + 72

Hope this helps! :))

What is 4 1/4 ÷ 4 1/2

Answers

Answer:

Your answer is going to be 17/18.

Step-by-step explanation:

You are going to put the fractions in improper form, giving you 17/4 and 9/2. Then you are going to use the saying KCF Keep Change Flip.

(17/4)(2/9)

34/36

17/18

A sphere has a diameter of 8cm. Which statements about the sphere are true? Check all that apply.
• the sphere has a radius of 4cm.
• the sphere has a radius of 16 cm.
• The diameter’s length is twice the length of the radius.
• The radius’s length is twice the length of the diameter.
• The volume of the sphere 2048/3 pi. cm. cubed
• the volume of the sphere is 256/3 pi. cm. cubed

Answers

Answer:

The sphere has a radius of 4 cm.The diameter’s length is twice the length of the radius.The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Step-by-step explanation:

Answer:

1. The sphere has a radius of 4 cm.

3. The diameter length is twice the length of the radius.

6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.


Which expression is a prime polynomial

Answers

What are the expressions?

The slope of AB is 6/5 if point A is (3,y) and point B is (-2,-1) find the value of y

Answers

If we put these informations in the problem into the equation of slope,

6/5 = y+1 / 2+3

To find y,

y+1 = 6

y = 6-1 = 5

y = 5

I don't understand this question can you help pls

Answers

Answer:

yes, it would change because the place value

The value of the third column is the hundredths

Which point is on Analyn's graph

Answers

Do u have a picture I’d the graph?

The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.

Answers

Answer:

Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!

The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.  

The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.

This quiz was completed on k12, lesson 3.03.

The question is an illustration of equation of circles.

The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard because

From the question, we understand that:

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung

[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard

[tex]\mathbf{B = 10ft}[/tex]  --- the bull's eye

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart

Equation of the circle

First, we convert all units to feet

This is done by dividing inches units by 12

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]

Take LCM

[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]

[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]

[tex]\mathbf{d = 18\i n }[/tex]

[tex]\mathbf{d = \frac{18}{12}ft}[/tex]

[tex]\mathbf{d = \frac{3}{2}ft}[/tex]

Divide by 2 to calculate radius

[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]

[tex]\mathbf{r = \frac{3}{4}ft}[/tex]

The equation of the circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

In this case:

[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall

[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung

So, we have:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]

Evaluate the exponents

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Does Sasha’s dart land on the dartboard?

Yes her dart lands on the dartboard because

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard

Read more about equation of circles at:

https://brainly.com/question/23988015

five times the sum of a number and four

Answers

here is the Answer:

5(x+4)

Hope it helps

Question 2 of 5

Select the story problem that this division problem represents.

3

4

1

5

A. A mosaic has an area of square foot and a width of foot.

What is the length of the mosaic?

B. A piece of wrapping paper is yard wide and yard long. What is

the area of the wrapping paper?

C. The area of a wetland is į square mile, and it is mile in length.

How wide is the wetland?

D. A whiteboard is meter long and has an area of 1 square meter.

How wide is the whiteboard?

Answers

Answer:

The answer is below

Step-by-step explanation:

A) Given that the area of the square a square foot = 1 ft², the width = 1 foot

Area = length × width

1 ft² = length × 1 ft

Length = 1 ft²/ 1 ft = 1 ft

B) Given that length of wrapping paper = 1 yd, width = 1 yd.

The area of the paper = length × width = 1 yd × 1 yd = 1 yd²

C) Given that the area of the wetland is a square mile = 1 mile², the length = 1 mile

Area = length × width

1 mile² = 1 mile × width

width = 1 mile²/ 1 mile = 1 mile

D) Given that the area of the square a square meter = 1 m², the length = 1 meter

Area = length × width

1 m² = 1 m × width

width = 1 m²/ 1 m = 1 m

What is the product of-3 and-13? Enter your answer as a mixed number, in simplified fom, in the box​

Answers

Answer:

39

Step-by-step explanation:

-3x(-13) = 39.

If this question was asking for something different I apologize.

The original price for a jacket is $124.95. It is on sale for 20% off. Which of the following gives the best estimate of the savings?

Answers

Answer:

24.99

Step-by-step explanation:

We first must figure out the current price of the jacket, we need to multiply the original price (124.95) times .80 (1.00 - .20). Doing so we get a total of 99.96. In order to find the savings, we subtract the original price by the new price. 124.95-99.96 = a savings of 24.99

Answer:

You would be saving 24.99 dollars

Step-by-step explanation:

Find 20% of 124.95 using P(percentage in decimal form) times X(original number) and you should have your answer.

Hope this helps!

If f(x) = 2x - 3, find f(-2).

Answers

Answer:

f(-2) is -7

Step-by-step explanation:

input -2 as x

2(-2)-3

-4-4

-7

Write the following equation in the general form Ax+ By+ C:
1/2y -1/3x -1 = 0
a.) -2x +3y -6 = 0
b.) 2x -3y -6 = 0
c.) 2x 3y +6 = 0


Answers

C the answer hehehehehehehwhw

In multiple regression analysis, the word linear in the term "general linear model" refers to the fact that β0, β1, . . ., βp all have exponents of a. at least 1. b. less than 0. c. 0. d. 1.

Answers

Answer:

d. 1

Step-by-step explanation:

it is called linear because β0, β1, . . ., βp all have their exponents to be 1. A multiple linear regression is a type of regression which has more than one independent variable. it tells us the existing relationship between 2 or more of these independent variables on the dependent variable. for it to be regarded to be linear, it is very important that the exponents be equal to 1. else it could be quadratic.

what is the quotient of
2 1/2 ÷ (-1 3/4)

enter your answer as a mixed number in simplified form​

Answers

Answer:The exact form is -10/7  the simplified form is -1 3/7

Step-by-step explanation:

Piper and her children went into a movie theater and she bought $59.50
bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs
$4.25. She bought 8 more candies than bags of popcorn. Graphically solve a system
of equations in order to determine the number of bags of popcorn, x, and the number
of candies, y, that Piper bought.

Answers

6 candy boxes

Step-by-step explanation :

Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.

(2*8) + 1.50x = 25

16 + 1.50x = 25 ... subtract 16 from both sides

1.50x = 9 ... divide both sides by 1.50

x = 6

Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.

Answer:

This is the answer on Delta Math

Step-by-step explanation:

how math is used in technology

Answers

Answer:read the explanation

Step-by-step explanation:

The processors that power computers are able to perform calculations quickly, and the calculations are performed using Boolean algebra. People generally solve math problems using a base-10 number system. Boolean algebra relies on base-2 math, in which all numbers are represented using ones and zeros.

In addition to calculating basic math problems, however, computers also use Boolean logic. This logic, which is rooted in discrete mathematical principles, allows computers to solve problems that require making logical decisions. Boolean algebra and logic combine to make sophisticated devices; self-driving cars, for example, use the input calculated from digital cameras to make decisions about how to navigate.

The ratio of chocolate
chip cookies to total
cookies on a tray is 3:5.
What percent of the tray
is chocolate chip
cookies?

Answers

Answer:

The percent is 75%

Step-by-step explanation:

Me puede de resolver tengo q presentar eso mañana

Answers

Answer:

180/3=60

60/3=20

20/3=6.667(redondeado)

6.667/3= 2.222(redondeado)

2.222/3=0.741(redondeado)

0.741/3=0.247

A club has 30 members is formed from 12 democrats and 18 republicans. How many different committees consisting of 8 democrats
and 8 republicans are possible to be formed?

Answers

Given:

Total number of members = 30

Number of democrats = 12

Number of republicans = 18

To find:

Number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed.

Solution:

Total number of ways to selecting 8 democrats  from 12 democrats  is

[tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}[/tex]

[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9\times 8!}{8!4!}[/tex]

[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}[/tex]

[tex]^{12}C_8=495[/tex]

Total number of ways to selecting 8 republicans from 18 republicans  is

[tex]^{18}C_8=\dfrac{18!}{8!(18-8)!}[/tex]

[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11\times 10!}{8!10!}[/tex]

[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{18}C_8=43758[/tex]

Now, number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed is

[tex]^{12}C_8\times ^{18}C_8=495\times 43758[/tex]

[tex]^{12}C_8\times ^{18}C_8=21660210[/tex]

Therefore, the total possible ways are 21660210.

Which expression has the same value as -18÷(-9)?

A-18-2

B-12÷(-3)

C-10÷5

D-6÷(-4)​

Answers

Answer:

None of the following

Step-by-step explanation:

-18 ÷ (-9) = 18 ÷ 9 = 2

A. -18 - 2 = -(18 + 2) = -20 ≠ 2

B. -12 ÷ (-3) = 12 ÷ 3 = 4 ≠ 2

C. -10 ÷ 5 = - 2 ≠ 2

D. -6 ÷ (-4) = 6 ÷ 4 = 1.5 ≠ 2

Sharon buys a 60" tv for $1,450 plus the sales tax rate, which is 8.25%. what is the total cost of what she paid after taxes. round to two decimal place ​

Answers

Answer:

1,569.625

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total cost of the 60" TV is $1,569.63.

An automatic teller machine gives you $150 in five and ten-dollar bills.  There are two more than twice as many five-dollar bills as there are ten-dollar bills.  How many of each denomination are there?​

Answers

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

A line passes through the point (-2, – 7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

y= (5/2)x+2

Step-by-step explanation:

Choose the equation that represents the line passing through the point -3 and -1 with a slope of 4

Answers

Answer:

y=4x+11

Step-by-step explanation:

y=mx+b.          

-1=4(-3)+b

-1=  -12+b

+12 +12

11=b

Answer:

y = 4x + 11

Step-by-step explanation:

Determine whether y^2=−3x−2 is a function.

Answers

Answer:

y=3x-2 is a function because it passes the vertical line test.

Step-by-step explanation:

The given equation y² = - 3x - 2 represents a function.

What is a function?

A function is  the relation between two sets. The first one is called domain and the second one is called range.

Given, y² = - 3x - 2

For x = 0, y = √(- 3 × 0 - 2) = √(-2)

For x = 1, y = √(- 3 × 1 - 2) = √(-5)

For x = -1, y = √[- 3 × (- 1) - 2) = ± 1

For any value of 'x' in the domain, 'y' has at least a value in the range.

Hence, the given equation represents a function.

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